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Finding the Fourth Proportional to 149,406.33, 206,174.72 and 81,421.85

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Solution

The fourth proportional to 149,406.33, 206,174.72 and 81,421.85 is: 112,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,406.33 : 206,174.72 = 81,421.85 : x
  2. Step 2: Convert to fraction form
    149,406.33/206,174.72 = 81,421.85/x
  3. Step 3: Cross multiply
    149,406.33x = 206,174.72 × 81,421.85
  4. Step 4: Simplify right side
    149,406.33x = 16,787,127,125.63
  5. Step 5: Solve for x
    x = 16,787,127,125.63/149,406.33
  6. Step 6: Final answer
    x = 112,358.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.